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Finding the Fourth Proportional to 594.77, 820.55 and 407.94

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Solution

The fourth proportional to 594.77, 820.55 and 407.94 is: 562.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.77 : 820.55 = 407.94 : x
  2. Step 2: Convert to fraction form
    594.77/820.55 = 407.94/x
  3. Step 3: Cross multiply
    594.77x = 820.55 × 407.94
  4. Step 4: Simplify right side
    594.77x = 334,735.17
  5. Step 5: Solve for x
    x = 334,735.17/594.77
  6. Step 6: Final answer
    x = 562.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.